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Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki

The evolution of light pulses in a nonlinear gain medium

V. S. Grigor'ian, Andrei I. Maimistov, Iu. M. Skliarov

Published Mar 1, 1988• 0 citations
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Resonance and parametric interaction of light in a nonlinear medium

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Physics Letters A•Jan 1, 1986•5 citations
Group-velocity mismatch between the pump and Stokes pulses and the inertia of optical nonlinearity are shown to modify scenarios of slow-light evolution of laser pulses accompanying stimulated Raman and Brillouin scattering (SRS and SBS) of light. In the transient regime of SRS and SBS, the inertia of nonlinear polarization of a medium shifts the peak of an amplified Stokes field envelope relative to the input Stokes pulse. This shift is sensitive to the shape of input laser pulses and is controlled by the SRS and/or SBS gain, the damping time of the optical phonon wave, and the delay time between the input pump and Stokes pulses. In the regime where both the inertia of nonlinear polarization of an SRS medium and group-delay effects are significant, stationary modes of the Stokes field may exist in the frame of reference propagating with the group velocity of the pump field. The maximum group delay attainable for such modes of the Stokes field is limited, similar to the steady-state regime, by the ratio of the steady-state SRS gain to the Raman gain bandwidth.
We study the propagation of a near-resonant strong laser light with a broad background continuum spectrum in a dense gaseous two-level medium. Due to the nonlinear saturation caused by the driving of the coherent component of the field, spectral regions close to the Rabi sidebands with significant gain exist close to the resonance. The subsequent evolution of the spectrum of the propagating field displays interesting features, and in the stationary limit a broadening of the spectral line always eventually happens in the end which contradicts the coherent narrowing phenomenon for pulsed propagation. This may shed some new light on the mechanisms of cone emission.
Results of numerical calculations are presented and analyzed for pulse generation and propagation in one-and two-spacial dimensions in a medium consisting of a collection of two-level atoms which are resonantly swept-excited by an impulse excitation traveling at the speed of light in the medium. The conditions imposed for the calculation in one-spacial dimension are that T1 = T2, where T1 and T2 are the single atom relaxation and dephasing times, respectively, and that the gain, g, to loss, κ , ratio g/κ >> 1 , which determines the non-linear regime for pulse evolution. In addition, we impose that T2 >> τc, where τc is the characteristic superradiance cooperation time, so that the pulse evolves from conditions appropriate for superradiant pulse generation for sufficiently small values for the propagation distance z . We report and analyze calculational results for the transient regime of pulse buildup through the asymptotic regime of large propagation distance z where the pulse generated exhibits steady-state behavior with regard to pulse area, energy and intensity profile. Additional results of computations are presented which incorporate transverse effects and diffraction using a Gaussian radial gain profile for the initial condition and under imposed conditions comparable with those of the corresponding one-spacial dimension calculations. The results of the two sets of calculations are compared and discussed. We demonstrate and give predictive requirements for swept-gain pulse evolution from the superradiant state.